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Worksheet: Centering in Cubic Lattices

Q1:

A unit cell contains equivalent atoms at ( 0 , 0 , 0 ) , ( 0 , 0 , 1 ) , ( 0 , 1 , 0 ) , ( 0 , 1 , 1 ) , ( 1 , 0 , 0 ) , ( 1 , 0 , 1 ) , ( 1 , 1 , 0 ) , ( 1 , 1 , 1 ) and 1 2 , 1 2 , 1 2 . Which letter denotes the type of centering displayed by this unit cell?

  • AC
  • BP
  • CF
  • DI
  • ER

Q2:

What is the coordination number of a cobalt atom in the hexagonal close-packed structure of cobalt metal?

Q3:

What is the coordination number of a chromium atom in the body-centred cubic structure of chromium metal?

Q4:

The compound M X contains a metal ion M with an ionic radius 49% smaller than that of the anion X . Determine which of the following statements is false, given that the metal ions

M have the coordinates:

  • AThe lattice adopts the cubic structure with the highest packing efficiency.
  • BThere are four M ions within the unit cell.
  • CThe metal ions are hexacoordinate.
  • DThe lattice has a body-centered structure.